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Abstract

Human perception becomes difficult in the event of binocular color fusion when the color difference presented for the left and right eyes exceeds a certain threshold value, known as the binocular color fusion limit. This paper discusses the binocular color fusion limit for non-spectral colors within the color gamut of a conventional LCD 3DTV. We performed experiments to measure the color fusion limit for eight chromaticity points sampled from the CIE 1976 chromaticity diagram. A total of 2480 trials were recorded for a single observer. By analyzing the results, the color fusion limit was quantified by ellipses in the chromaticity diagram. The semi-minor axis of the ellipses ranges from 0.0415 to 0.0923 in terms of the Euclidean distance in the u’v´ chromaticity diagram and the semi-major axis ranges from 0.0640 to 0.1560. These eight ellipses are drawn on the chromaticity diagram.

The total of 8 sample points in the CIE 1976 chromaticity diagram where we quantify color fusion limit through our experiment. The triangle represents the color gamut of the LCD display used in our experiments. The numbers indicate the sample numbers (from No. 1 to No. 8). These sample points were presented for the right eye.

Examples of the neighbor selection scheme for the (a) No. 3 and (b) No. 5 sample points illustrated in Fig. 2. The selections were sampled along straight lines in six directions with a uniform step size of 0.02. The triangle represents the color gamut of the LCD display used in our experiments. The colors of the selected neighbor points were presented for the left eye.

Example of a stimulus used in the binocular color fusion limit experiment (a) for the left eye and (b) for the right eye. The test field size was 2° in diameter, and the surrounding field size was 33°.

Percentage of fused perceptions regarding the left stimuli sampled in each neighbor’s direction from the No. 1 point (u´=0.15, v´=0.55). The abscissa represents the Euclidean distance from the point (u´=0.15, v´=0.55). p(%) denotes the percentage of fused perceptions. Observer: DH. (a) Red direction, (b) blue direction, and (c) blue-red direction.

Binocular color fusion limit for each of the chromaticity points in Fig. 2. The parameters of the ellipses were obtained by nonlinear regression. (a) No. 7 point (u´ = 0.2, v´ = 0.3), and (b) No. 8 point (u´ = 0.2, v´ = 0.2). The fusion limit along each line was marked.

Tables (4)

Table 1 Specifications of LCD Displays Used in Our Experiment. The Brightness and Chromaticity Were Measured at the Center Point of the Monitor With a Spectroradiometer. H and V Respectively Denote the Horizontal and Vertical Size of the Display

Metrics

Table 1

Specifications of LCD Displays Used in Our Experiment. The Brightness and Chromaticity Were Measured at the Center Point of the Monitor With a Spectroradiometer. H and V Respectively Denote the Horizontal and Vertical Size of the Display

Display area (mm)

Aspect ratio

Resolution

Brightness (with glasses, cd/m2)

left

right

886 (H)

498 (V)

16:9

1920 x 1080

149

136

Pixel arrangement

Display colors

Color gamut

Color chromaticity

red

green

blue

white

RGB vertical strip

8bit, 16.7M colors

72% of NTSC

x = 0.642 y = 0.337

x = 0.280 y = 0.605

x = 0.147 y = 0.060

x = 0.280 y = 0.290

Table 3

Stimuli and Percentages of Fused Perceptions for Binocular Color Fusion. p(%) Refers to the Percentage of Fused Perceptions

right stimulus number

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

No. 1

1

0.1668

0.5441

10.62

0.0178

100

13

0.1588

0.4727

11.15

0.0778

50

2

0.1899

0.5491

10.56

0.0399

100

14

0.1591

0.4534

11.03

0.0970

20

3

0.2091

0.5474

10.16

0.0592

90

15

0.1581

0.4300

11.08

0.1203

0

4

0.2307

0.5450

10.27

0.0809

80

16

0.1574

0.4110

11.11

0.1392

0

5

0.2505

0.5429

10.83

0.1008

40

17

0.1605

0.5373

10.87

0.0165

100

6

0.2714

0.5407

10.61

0.1218

0

18

0.1770

0.5199

10.87

0.0404

100

7

0.2904

0.5387

10.47

0.1409

10

19

0.1964

0.5078

11.08

0.0627

100

8

0.1343

0.5504

10.36

0.0157

100

21

0.2062

0.4963

11.07

0.0777

70

9

0.1339

0.5368

10.53

0.0208

90

21

0.2204

0.4793

11.44

0.0998

50

10

0.1539

0.5311

10.66

0.0193

100

22

0.2343

0.4673

11.63

0.1181

0

11

0.1519

0.5074

10.90

0.0426

100

23

0.2465

0.4536

11.71

0.1364

0

12

0.1590

0.4903

11.20

0.0604

70

No. 2

1

0.2214

0.5026

11.20

0.0216

100

16

0.1399

0.4765

10.80

0.0645

0

2

0.2422

0.5027

11.43

0.0423

90

17

0.2010

0.4790

11.24

0.0210

100

3

0.2584

0.5041

11.40

0.0585

60

18

0.1948

0.4583

11.29

0.0420

70

4

0.2773

0.5049

11.30

0.0775

10

19

0.1957

0.4428

11.41

0.0574

30

5

0.3009

0.5111

11.39

0.1015

10

20

0.1951

0.4160

11.49

0.0841

0

6

0.3181

0.5112

11.31

0.1186

0

21

0.1944

0.3998

11.62

0.1004

0

7

0.3428

0.5128

11.23

0.1434

0

22

0.1890

0.3815

11.56

0.1190

0

8

0.2072

0.5208

11.03

0.0220

100

23

0.1896

0.3587

11.45

0.1417

0

9

0.2136

0.5396

10.93

0.0419

100

24

0.2152

0.4846

11.24

0.0216

90

10

0.1825

0.5126

11.01

0.0216

100

25

0.2302

0.4716

11.62

0.0415

70

11

0.1719

0.5248

10.94

0.0375

100

26

0.2440

0.4579

11.63

0.0609

50

12

0.1537

0.5439

10.45

0.0638

40

27

0.2542

0.4445

11.68

0.0776

20

13

0.1343

0.5504

10.36

0.0828

20

28

0.2719

0.4277

11.69

0.1020

0

14

0.1797

0.4892

11.29

0.0230

100

29

0.2840

0.4160

11.52

0.1188

0

15

0.1649

0.4861

11.16

0.0378

100

30

0.2996

0.4015

11.30

0.1401

0

No. 3

1

0.3201

0.4994

11.23

0.0201

100

19

0.2436

0.4757

11.66

0.0614

60

2

0.3370

0.5053

11.18

0.0374

100

20

0.2243

0.4667

11.66

0.0827

30

3

0.3573

0.5048

11.20

0.0575

80

21

0.2101

0.4535

11.50

0.1012

0

4

0.3750

0.5136

11.33

0.0762

90

22

0.1952

0.4498

11.21

0.1162

0

5

0.3952

0.5145

11.15

0.0963

50

23

0.1755

0.4416

11.15

0.1375

0

6

0.4162

0.5162

11.14

0.1173

20

24

0.2921

0.4801

11.54

0.0214

100

7

0.4418

0.5227

10.87

0.1436

10

25

0.2855

0.4663

11.62

0.0367

100

8

0.3027

0.5235

11.25

0.0237

100

26

0.2803

0.4429

11.66

0.0604

70

9

0.2986

0.5378

10.70

0.0378

100

27

0.2719

0.4277

11.69

0.0776

70

10

0.2811

0.5106

11.29

0.0217

100

28

0.2650

0.4096

11.59

0.0969

10

11

0.2620

0.5155

11.24

0.0410

100

29

0.2610

0.3884

11.59

0.1182

0

12

0.2417

0.5155

11.36

0.0603

80

30

0.2541

0.3662

11.47

0.1415

10

13

0.2232

0.5264

11.15

0.0812

30

31

0.3082

0.4862

11.35

0.0161

100

14

0.2072

0.5320

11.07

0.0982

20

32

0.3213

0.4704

11.51

0.0365

100

15

0.1918

0.5384

10.91

0.1148

0

33

0.3379

0.4547

11.35

0.0591

90

16

0.1668

0.5441

10.62

0.1403

0

34

0.3524

0.4410

11.50

0.0789

50

17

0.2853

0.4929

11.38

0.0163

90

35

0.3632

0.4226

11.35

0.0999

10

18

0.2618

0.4867

11.52

0.0404

100

No. 4

1

0.4185

0.5084

11.23

0.0203

100

14

0.3213

0.4704

11.51

0.0841

90

2

0.4356

0.5236

11.02

0.0427

100

15

0.3049

0.4643

11.41

0.1016

80

3

0.3931

0.5222

11.22

0.0232

100

16

0.2870

0.4554

11.53

0.1215

60

4

0.3788

0.5070

11.23

0.0223

100

17

0.2685

0.4487

11.65

0.1412

0

5

0.3573

0.5048

11.20

0.0430

100

18

0.3897

0.4880

11.24

0.0158

100

6

0.3428

0.5128

11.23

0.0586

100

19

0.3756

0.4631

11.42

0.0442

100

7

0.3257

0.5176

11.18

0.0764

100

20

0.3664

0.4530

11.34

0.0578

90

8

0.3027

0.5235

11.25

0.1001

70

21

0.3578

0.4360

11.45

0.0767

80

9

0.2801

0.5291

11.19

0.1234

40

22

0.3438

0.4148

11.43

0.1021

60

10

0.2620

0.5272

11.16

0.1407

30

23

0.3350

0.3971

11.38

0.1217

10

11

0.3811

0.4878

11.30

0.0225

100

24

0.3215

0.3840

11.33

0.1401

0

12

0.3649

0.4818

11.45

0.0395

100

25

0.4128

0.4831

11.09

0.0212

90

13

0.3455

0.4818

11.22

0.0575

100

Table 4

Continued

right stimulus number

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

No. 5

1

0.2149

0.4073

11.60

0.0166

100

19

0.1590

0.4903

11.20

0.0992

40

2

0.2346

0.4181

11.78

0.0390

100

20

0.1519

0.5074

10.90

0.1177

30

3

0.2548

0.4285

11.80

0.0618

70

21

0.1397

0.5313

10.45

0.1445

0

4

0.2729

0.4364

11.74

0.0815

30

22

0.1803

0.3956

11.43

0.0202

100

5

0.2924

0.4425

11.55

0.1017

10

23

0.1630

0.3920

11.18

0.0379

100

6

0.3064

0.4537

11.35

0.1192

10

24

0.1997

0.3819

11.75

0.0181

100

7

0.3272

0.4634

11.28

0.1421

0

25

0.1949

0.3599

11.44

0.0404

100

8

0.2050

0.4172

11.50

0.0179

100

26

0.1957

0.3388

11.50

0.0614

100

9

0.2153

0.4408

11.50

0.0436

90

27

0.1953

0.3196

11.53

0.0805

100

10

0.2205

0.4541

11.50

0.0579

100

28

0.1900

0.2973

11.44

0.1032

90

11

0.2246

0.4753

11.42

0.0792

60

29

0.1854

0.2842

11.37

0.1167

70

12

0.2360

0.4980

11.47

0.1044

50

30

0.1857

0.2623

11.07

0.1384

30

13

0.2417

0.5155

11.36

0.1228

0

31

0.2156

0.3909

11.62

0.0181

100

14

0.2492

0.5339

11.30

0.1427

10

32

0.2341

0.3776

11.73

0.0408

100

15

0.1896

0.4204

11.38

0.0229

100

33

0.2487

0.3693

11.51

0.0576

100

16

0.1809

0.4372

11.33

0.0418

100

34

0.2648

0.3530

11.19

0.0801

40

17

0.1751

0.4581

11.10

0.0632

100

35

0.2816

0.3399

11.18

0.1013

0

18

0.1647

0.4757

11.02

0.0835

90

36

0.2996

0.3327

10.85

0.1202

0

No. 6

1

0.3147

0.4160

11.40

0.0217

100

20

0.2099

0.4805

11.40

0.1208

0

2

0.3334

0.4229

11.43

0.0405

100

21

0.1959

0.4959

11.15

0.1415

0

3

0.3473

0.4361

11.51

0.0595

100

22

0.2806

0.3941

11.40

0.0203

100

4

0.3617

0.4492

11.35

0.0789

70

23

0.2592

0.3971

11.70

0.0409

80

5

0.3756

0.4631

11.42

0.0985

40

24

0.2419

0.3909

11.79

0.0588

40

6

0.3886

0.4766

11.24

0.1171

0

25

0.2202

0.3901

11.82

0.0804

0

7

0.4108

0.4890

11.17

0.1421

0

26

0.1997

0.3819

11.75

0.1019

0

8

0.2999

0.4195

11.41

0.0195

100

27

0.1841

0.3780

11.54

0.1180

0

9

0.3020

0.4404

11.42

0.0404

100

28

0.1620

0.3775

11.16

0.1398

0

10

0.3009

0.4587

11.40

0.0587

100

29

0.2914

0.3845

11.36

0.0177

100

11

0.3014

0.4812

11.53

0.0812

80

30

0.2845

0.3615

11.21

0.0415

100

12

0.3071

0.4998

11.44

0.1001

40

31

0.2763

0.3443

11.13

0.0605

100

13

0.3027

0.5235

11.25

0.1235

20

32

0.2628

0.3336

11.20

0.0761

100

14

0.2986

0.5378

10.70

0.1378

0

33

0.2546

0.3070

11.05

0.1035

20

15

0.2840

0.4160

11.52

0.0226

100

34

0.2438

0.2962

11.04

0.1180

10

16

0.2719

0.4277

11.69

0.0395

100

35

0.2359

0.2801

10.94

0.1360

0

17

0.2522

0.4407

11.61

0.0628

60

36

0.3159

0.3875

11.35

0.0202

100

18

0.2388

0.4549

11.76

0.0822

0

37

0.3321

0.3755

11.15

0.0404

90

19

0.2243

0.4667

11.66

0.1009

0

No. 7

1

0.2121

0.3141

11.40

0.0186

100

18

0.1798

0.3734

11.45

0.0761

30

2

0.2293

0.3262

11.39

0.0393

70

19

0.1700

0.3961

11.33

0.1007

0

3

0.2474

0.3416

11.33

0.0631

10

20

0.1636

0.4164

11.28

0.1220

0

4

0.2607

0.3504

11.34

0.0789

0

21

0.1647

0.4329

11.01

0.1375

0

5

0.2777

0.3651

11.28

0.1014

0

22

0.1794

0.2984

11.44

0.0207

100

6

0.2855

0.3805

11.32

0.1174

0

23

0.1603

0.3005

11.12

0.0397

60

7

0.3062

0.3896

11.44

0.1389

0

24

0.1973

0.2804

11.16

0.0198

100

8

0.2057

0.3184

11.51

0.0193

90

25

0.1977

0.2591

10.91

0.0410

100

9

0.2110

0.3430

11.65

0.0444

70

26

0.1865

0.2401

10.64

0.0614

60

10

0.2154

0.3618

11.63

0.0637

30

27

0.1877

0.2171

10.27

0.0838

10

11

0.2249

0.3774

11.80

0.0813

0

28

0.1815

0.2002

10.01

0.1015

0

12

0.2289

0.3942

11.74

0.0985

0

29

0.1823

0.1819

9.33

0.1194

0

13

0.2346

0.4181

11.78

0.1231

0

30

0.1742

0.1774

9.31

0.1253

0

14

0.2389

0.4369

11.75

0.1423

0

31

0.2204

0.2887

11.19

0.0233

100

15

0.1953

0.3196

11.53

0.0202

100

32

0.2359

0.2801

10.94

0.0410

60

16

0.1895

0.3418

11.51

0.0431

80

33

0.2534

0.2722

10.32

0.0602

0

17

0.1849

0.3550

11.44

0.0570

80

No. 8

1

0.2091

0.2151

10.26

0.0176

100

16

0.2407

0.3753

11.63

0.1800

0

2

0.2223

0.2319

10.10

0.0389

100

17

0.2452

0.3948

11.63

0.2000

0

3

0.2341

0.2473

10.37

0.0583

80

18

0.1932

0.2216

10.35

0.0226

100

4

0.2469

0.2640

10.42

0.0793

50

19

0.1929

0.2347

10.52

0.0354

100

5

0.2588

0.2790

10.62

0.0985

30

20

0.1857

0.2623

11.07

0.0639

100

6

0.2698

0.2938

10.53

0.1169

10

21

0.1851

0.2743

11.22

0.0758

100

7

0.2866

0.3154

10.79

0.1443

0

22

0.1794

0.2984

11.44

0.1005

100

8

0.2063

0.2192

10.11

0.0202

100

23

0.1741

0.3194

11.28

0.1222

90

9

0.2107

0.2357

10.47

0.0373

100

24

0.1676

0.3360

11.24

0.1398

80

10

0.2100

0.2579

10.75

0.0588

100

25

0.1676

0.3567

11.24

0.1600

10

11

0.2206

0.2776

10.96

0.0803

90

26

0.1635

0.3763

11.24

0.1800

0

12

0.2192

0.2974

11.28

0.0993

100

27

0.1815

0.2002

10.01

0.0185

100

13

0.2286

0.3161

11.32

0.1196

50

28

0.1875

0.1875

9.49

0.0177

80

14

0.2321

0.3401

11.63

0.1437

40

29

0.1742

0.1774

9.31

0.0343

60

15

0.2362

0.3559

11.63

0.1600

20

Table 2

Estimated Parameter Values and the Goodness-of-Fit Statistics of Ellipses for Each of the Eight Chromaticity Points

Sample No.

Chromaticity point

Estimate

Std. Error

SSE

R-square

u´

v´

a

b

θ(degree)

a

b

θ(degree)

1

0.15

0.55

0.0707

0.1049

62.0273

0

0

0.0189

3.76e−07

1.0000

2

0.2

0.5

0.0477

0.0640

−111.8408

0.0014

0.0017

3.3736

0.0276

0.9932

3

0.3

0.5

0.0772

0.0871

118.5364

0.0067

0.0067

29.7165

0.2563

0.9783

4

0.4

0.5

0.0923

0.1253

103.4114

0

0

0

2.77e−31

1.0000

5

0.2

0.4

0.0653

0.1232

−1.5731

0.0016

0.0032

1.8604

0.0292

0.9988

6

0.3

0.4

0.0609

0.1014

−20.4477

0.0037

0.0064

5.2179

0.1640

0.9841

7

0.2

0.3

0.0415

0.0810

15.2235

0.0023

0.0048

4.8822

0.1219

0.9836

8

0.2

0.2

0.0569

0.1560

5.3398

0

0

0

7.35e−31

1.0000

Tables (4)

Table 1

Specifications of LCD Displays Used in Our Experiment. The Brightness and Chromaticity Were Measured at the Center Point of the Monitor With a Spectroradiometer. H and V Respectively Denote the Horizontal and Vertical Size of the Display

Display area (mm)

Aspect ratio

Resolution

Brightness (with glasses, cd/m2)

left

right

886 (H)

498 (V)

16:9

1920 x 1080

149

136

Pixel arrangement

Display colors

Color gamut

Color chromaticity

red

green

blue

white

RGB vertical strip

8bit, 16.7M colors

72% of NTSC

x = 0.642 y = 0.337

x = 0.280 y = 0.605

x = 0.147 y = 0.060

x = 0.280 y = 0.290

Table 3

Stimuli and Percentages of Fused Perceptions for Binocular Color Fusion. p(%) Refers to the Percentage of Fused Perceptions

right stimulus number

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

No. 1

1

0.1668

0.5441

10.62

0.0178

100

13

0.1588

0.4727

11.15

0.0778

50

2

0.1899

0.5491

10.56

0.0399

100

14

0.1591

0.4534

11.03

0.0970

20

3

0.2091

0.5474

10.16

0.0592

90

15

0.1581

0.4300

11.08

0.1203

0

4

0.2307

0.5450

10.27

0.0809

80

16

0.1574

0.4110

11.11

0.1392

0

5

0.2505

0.5429

10.83

0.1008

40

17

0.1605

0.5373

10.87

0.0165

100

6

0.2714

0.5407

10.61

0.1218

0

18

0.1770

0.5199

10.87

0.0404

100

7

0.2904

0.5387

10.47

0.1409

10

19

0.1964

0.5078

11.08

0.0627

100

8

0.1343

0.5504

10.36

0.0157

100

21

0.2062

0.4963

11.07

0.0777

70

9

0.1339

0.5368

10.53

0.0208

90

21

0.2204

0.4793

11.44

0.0998

50

10

0.1539

0.5311

10.66

0.0193

100

22

0.2343

0.4673

11.63

0.1181

0

11

0.1519

0.5074

10.90

0.0426

100

23

0.2465

0.4536

11.71

0.1364

0

12

0.1590

0.4903

11.20

0.0604

70

No. 2

1

0.2214

0.5026

11.20

0.0216

100

16

0.1399

0.4765

10.80

0.0645

0

2

0.2422

0.5027

11.43

0.0423

90

17

0.2010

0.4790

11.24

0.0210

100

3

0.2584

0.5041

11.40

0.0585

60

18

0.1948

0.4583

11.29

0.0420

70

4

0.2773

0.5049

11.30

0.0775

10

19

0.1957

0.4428

11.41

0.0574

30

5

0.3009

0.5111

11.39

0.1015

10

20

0.1951

0.4160

11.49

0.0841

0

6

0.3181

0.5112

11.31

0.1186

0

21

0.1944

0.3998

11.62

0.1004

0

7

0.3428

0.5128

11.23

0.1434

0

22

0.1890

0.3815

11.56

0.1190

0

8

0.2072

0.5208

11.03

0.0220

100

23

0.1896

0.3587

11.45

0.1417

0

9

0.2136

0.5396

10.93

0.0419

100

24

0.2152

0.4846

11.24

0.0216

90

10

0.1825

0.5126

11.01

0.0216

100

25

0.2302

0.4716

11.62

0.0415

70

11

0.1719

0.5248

10.94

0.0375

100

26

0.2440

0.4579

11.63

0.0609

50

12

0.1537

0.5439

10.45

0.0638

40

27

0.2542

0.4445

11.68

0.0776

20

13

0.1343

0.5504

10.36

0.0828

20

28

0.2719

0.4277

11.69

0.1020

0

14

0.1797

0.4892

11.29

0.0230

100

29

0.2840

0.4160

11.52

0.1188

0

15

0.1649

0.4861

11.16

0.0378

100

30

0.2996

0.4015

11.30

0.1401

0

No. 3

1

0.3201

0.4994

11.23

0.0201

100

19

0.2436

0.4757

11.66

0.0614

60

2

0.3370

0.5053

11.18

0.0374

100

20

0.2243

0.4667

11.66

0.0827

30

3

0.3573

0.5048

11.20

0.0575

80

21

0.2101

0.4535

11.50

0.1012

0

4

0.3750

0.5136

11.33

0.0762

90

22

0.1952

0.4498

11.21

0.1162

0

5

0.3952

0.5145

11.15

0.0963

50

23

0.1755

0.4416

11.15

0.1375

0

6

0.4162

0.5162

11.14

0.1173

20

24

0.2921

0.4801

11.54

0.0214

100

7

0.4418

0.5227

10.87

0.1436

10

25

0.2855

0.4663

11.62

0.0367

100

8

0.3027

0.5235

11.25

0.0237

100

26

0.2803

0.4429

11.66

0.0604

70

9

0.2986

0.5378

10.70

0.0378

100

27

0.2719

0.4277

11.69

0.0776

70

10

0.2811

0.5106

11.29

0.0217

100

28

0.2650

0.4096

11.59

0.0969

10

11

0.2620

0.5155

11.24

0.0410

100

29

0.2610

0.3884

11.59

0.1182

0

12

0.2417

0.5155

11.36

0.0603

80

30

0.2541

0.3662

11.47

0.1415

10

13

0.2232

0.5264

11.15

0.0812

30

31

0.3082

0.4862

11.35

0.0161

100

14

0.2072

0.5320

11.07

0.0982

20

32

0.3213

0.4704

11.51

0.0365

100

15

0.1918

0.5384

10.91

0.1148

0

33

0.3379

0.4547

11.35

0.0591

90

16

0.1668

0.5441

10.62

0.1403

0

34

0.3524

0.4410

11.50

0.0789

50

17

0.2853

0.4929

11.38

0.0163

90

35

0.3632

0.4226

11.35

0.0999

10

18

0.2618

0.4867

11.52

0.0404

100

No. 4

1

0.4185

0.5084

11.23

0.0203

100

14

0.3213

0.4704

11.51

0.0841

90

2

0.4356

0.5236

11.02

0.0427

100

15

0.3049

0.4643

11.41

0.1016

80

3

0.3931

0.5222

11.22

0.0232

100

16

0.2870

0.4554

11.53

0.1215

60

4

0.3788

0.5070

11.23

0.0223

100

17

0.2685

0.4487

11.65

0.1412

0

5

0.3573

0.5048

11.20

0.0430

100

18

0.3897

0.4880

11.24

0.0158

100

6

0.3428

0.5128

11.23

0.0586

100

19

0.3756

0.4631

11.42

0.0442

100

7

0.3257

0.5176

11.18

0.0764

100

20

0.3664

0.4530

11.34

0.0578

90

8

0.3027

0.5235

11.25

0.1001

70

21

0.3578

0.4360

11.45

0.0767

80

9

0.2801

0.5291

11.19

0.1234

40

22

0.3438

0.4148

11.43

0.1021

60

10

0.2620

0.5272

11.16

0.1407

30

23

0.3350

0.3971

11.38

0.1217

10

11

0.3811

0.4878

11.30

0.0225

100

24

0.3215

0.3840

11.33

0.1401

0

12

0.3649

0.4818

11.45

0.0395

100

25

0.4128

0.4831

11.09

0.0212

90

13

0.3455

0.4818

11.22

0.0575

100

Table 4

Continued

right stimulus number

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

left stimulus number

u' (measured)

v' (measured)

luminance (measured, cd/m2)

u'v' distance from right stimulus

p(%)

No. 5

1

0.2149

0.4073

11.60

0.0166

100

19

0.1590

0.4903

11.20

0.0992

40

2

0.2346

0.4181

11.78

0.0390

100

20

0.1519

0.5074

10.90

0.1177

30

3

0.2548

0.4285

11.80

0.0618

70

21

0.1397

0.5313

10.45

0.1445

0

4

0.2729

0.4364

11.74

0.0815

30

22

0.1803

0.3956

11.43

0.0202

100

5

0.2924

0.4425

11.55

0.1017

10

23

0.1630

0.3920

11.18

0.0379

100

6

0.3064

0.4537

11.35

0.1192

10

24

0.1997

0.3819

11.75

0.0181

100

7

0.3272

0.4634

11.28

0.1421

0

25

0.1949

0.3599

11.44

0.0404

100

8

0.2050

0.4172

11.50

0.0179

100

26

0.1957

0.3388

11.50

0.0614

100

9

0.2153

0.4408

11.50

0.0436

90

27

0.1953

0.3196

11.53

0.0805

100

10

0.2205

0.4541

11.50

0.0579

100

28

0.1900

0.2973

11.44

0.1032

90

11

0.2246

0.4753

11.42

0.0792

60

29

0.1854

0.2842

11.37

0.1167

70

12

0.2360

0.4980

11.47

0.1044

50

30

0.1857

0.2623

11.07

0.1384

30

13

0.2417

0.5155

11.36

0.1228

0

31

0.2156

0.3909

11.62

0.0181

100

14

0.2492

0.5339

11.30

0.1427

10

32

0.2341

0.3776

11.73

0.0408

100

15

0.1896

0.4204

11.38

0.0229

100

33

0.2487

0.3693

11.51

0.0576

100

16

0.1809

0.4372

11.33

0.0418

100

34

0.2648

0.3530

11.19

0.0801

40

17

0.1751

0.4581

11.10

0.0632

100

35

0.2816

0.3399

11.18

0.1013

0

18

0.1647

0.4757

11.02

0.0835

90

36

0.2996

0.3327

10.85

0.1202

0

No. 6

1

0.3147

0.4160

11.40

0.0217

100

20

0.2099

0.4805

11.40

0.1208

0

2

0.3334

0.4229

11.43

0.0405

100

21

0.1959

0.4959

11.15

0.1415

0

3

0.3473

0.4361

11.51

0.0595

100

22

0.2806

0.3941

11.40

0.0203

100

4

0.3617

0.4492

11.35

0.0789

70

23

0.2592

0.3971

11.70

0.0409

80

5

0.3756

0.4631

11.42

0.0985

40

24

0.2419

0.3909

11.79

0.0588

40

6

0.3886

0.4766

11.24

0.1171

0

25

0.2202

0.3901

11.82

0.0804

0

7

0.4108

0.4890

11.17

0.1421

0

26

0.1997

0.3819

11.75

0.1019

0

8

0.2999

0.4195

11.41

0.0195

100

27

0.1841

0.3780

11.54

0.1180

0

9

0.3020

0.4404

11.42

0.0404

100

28

0.1620

0.3775

11.16

0.1398

0

10

0.3009

0.4587

11.40

0.0587

100

29

0.2914

0.3845

11.36

0.0177

100

11

0.3014

0.4812

11.53

0.0812

80

30

0.2845

0.3615

11.21

0.0415

100

12

0.3071

0.4998

11.44

0.1001

40

31

0.2763

0.3443

11.13

0.0605

100

13

0.3027

0.5235

11.25

0.1235

20

32

0.2628

0.3336

11.20

0.0761

100

14

0.2986

0.5378

10.70

0.1378

0

33

0.2546

0.3070

11.05

0.1035

20

15

0.2840

0.4160

11.52

0.0226

100

34

0.2438

0.2962

11.04

0.1180

10

16

0.2719

0.4277

11.69

0.0395

100

35

0.2359

0.2801

10.94

0.1360

0

17

0.2522

0.4407

11.61

0.0628

60

36

0.3159

0.3875

11.35

0.0202

100

18

0.2388

0.4549

11.76

0.0822

0

37

0.3321

0.3755

11.15

0.0404

90

19

0.2243

0.4667

11.66

0.1009

0

No. 7

1

0.2121

0.3141

11.40

0.0186

100

18

0.1798

0.3734

11.45

0.0761

30

2

0.2293

0.3262

11.39

0.0393

70

19

0.1700

0.3961

11.33

0.1007

0

3

0.2474

0.3416

11.33

0.0631

10

20

0.1636

0.4164

11.28

0.1220

0

4

0.2607

0.3504

11.34

0.0789

0

21

0.1647

0.4329

11.01

0.1375

0

5

0.2777

0.3651

11.28

0.1014

0

22

0.1794

0.2984

11.44

0.0207

100

6

0.2855

0.3805

11.32

0.1174

0

23

0.1603

0.3005

11.12

0.0397

60

7

0.3062

0.3896

11.44

0.1389

0

24

0.1973

0.2804

11.16

0.0198

100

8

0.2057

0.3184

11.51

0.0193

90

25

0.1977

0.2591

10.91

0.0410

100

9

0.2110

0.3430

11.65

0.0444

70

26

0.1865

0.2401

10.64

0.0614

60

10

0.2154

0.3618

11.63

0.0637

30

27

0.1877

0.2171

10.27

0.0838

10

11

0.2249

0.3774

11.80

0.0813

0

28

0.1815

0.2002

10.01

0.1015

0

12

0.2289

0.3942

11.74

0.0985

0

29

0.1823

0.1819

9.33

0.1194

0

13

0.2346

0.4181

11.78

0.1231

0

30

0.1742

0.1774

9.31

0.1253

0

14

0.2389

0.4369

11.75

0.1423

0

31

0.2204

0.2887

11.19

0.0233

100

15

0.1953

0.3196

11.53

0.0202

100

32

0.2359

0.2801

10.94

0.0410

60

16

0.1895

0.3418

11.51

0.0431

80

33

0.2534

0.2722

10.32

0.0602

0

17

0.1849

0.3550

11.44

0.0570

80

No. 8

1

0.2091

0.2151

10.26

0.0176

100

16

0.2407

0.3753

11.63

0.1800

0

2

0.2223

0.2319

10.10

0.0389

100

17

0.2452

0.3948

11.63

0.2000

0

3

0.2341

0.2473

10.37

0.0583

80

18

0.1932

0.2216

10.35

0.0226

100

4

0.2469

0.2640

10.42

0.0793

50

19

0.1929

0.2347

10.52

0.0354

100

5

0.2588

0.2790

10.62

0.0985

30

20

0.1857

0.2623

11.07

0.0639

100

6

0.2698

0.2938

10.53

0.1169

10

21

0.1851

0.2743

11.22

0.0758

100

7

0.2866

0.3154

10.79

0.1443

0

22

0.1794

0.2984

11.44

0.1005

100

8

0.2063

0.2192

10.11

0.0202

100

23

0.1741

0.3194

11.28

0.1222

90

9

0.2107

0.2357

10.47

0.0373

100

24

0.1676

0.3360

11.24

0.1398

80

10

0.2100

0.2579

10.75

0.0588

100

25

0.1676

0.3567

11.24

0.1600

10

11

0.2206

0.2776

10.96

0.0803

90

26

0.1635

0.3763

11.24

0.1800

0

12

0.2192

0.2974

11.28

0.0993

100

27

0.1815

0.2002

10.01

0.0185

100

13

0.2286

0.3161

11.32

0.1196

50

28

0.1875

0.1875

9.49

0.0177

80

14

0.2321

0.3401

11.63

0.1437

40

29

0.1742

0.1774

9.31

0.0343

60

15

0.2362

0.3559

11.63

0.1600

20

Table 2

Estimated Parameter Values and the Goodness-of-Fit Statistics of Ellipses for Each of the Eight Chromaticity Points